Question

PLEASE HELP!!! ILL MARK YOU BRAINLIEST 35 POINTS An expression is shown below: 2x3y + 8xy − 4x2y − 16y Part A: Rewrite the expression by factoring out the greatest common factor. Part B: Factor the entire expression completely. Show the steps of your work.

Answer 1

Answer:

2y (x-2) (x^2 +4)  

or see below for imaginary factors

Step-by-step explanation:

2x^3 y + 8xy − 4x^2 y − 16y

The greatest common factor is 2y

2y ( x^3 + 4x - 2x^2 -8)

Rearranging the order

2y ( x^3 -2x^2 +4x-8)

Factor by grouping

2y ( x^3 -2x^2         +4x-8)

Taking x^2 from the first group and 4 from the second

2y (x^2 (x-2)  +  4(x-2))

Factor out (x-2)

2y (x-2) (x^2 +4)

If you want imaginary factors

continue

2y (x-2) ( x^2 - (2i)^2)

2y ( x-2) ( x-2i) (x+2i)